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Publications of John Martin
The most non-classical symmetric states of an N-qubit systemBaguette, Dorian ; Martin, John ![]() Poster (2013, May 23) Detailed reference viewed: 16 (1 ULg) Influence of dipole-dipole interactions on the superradiant pulseDamanet, François ; Martin, John ![]() Poster (2013, May 23) Superradiance, known as the cooperative spontaneous emission of a directional light pulse by excited atoms placed in vacuum, has recently regained attention in the context of photon localization [1] and ... [more ▼] Superradiance, known as the cooperative spontaneous emission of a directional light pulse by excited atoms placed in vacuum, has recently regained attention in the context of photon localization [1] and single photon cooperative emission [2]. The dissipative dynamics of the atoms is known to depend dramatically on the ratio between the typical inter-atomic distance and the atomic transition wavelength, notably because of dipole-dipole interactions [3]. In this work, we study the effects of these interactions on superradiance as in [4] by solving numerically the corresponding master equation. In particular, by averaging over many realizations of the randomly distributed atomic positions, we show that the decay of the radiated energy pulse height with the intensity of the dipolar coupling follows a power law. [1] E. Ackermans, A. Gero & R. Kaiser, Phys. Rev. Lett. 101, 103602 (2008). [2] R. Friedberg & J. T. Manassah, J. Phys. B 43, 035501 (2010). [3] M. Gross & S. Haroche, Physics reports 93, 301-396 (1982). [4] B. Coffey & R. Friedberg, Phys. Rev. A 17, 1033 (1978). [less ▲] Highly non-classical symmetric states of an N-qubit systemBaguette, Dorian ; Martin, John ![]() Poster (2013, March 19) Detailed reference viewed: 9 (5 ULg) Weakening of superradiance due to dipole-dipole interactionsDamanet, François ; Martin, John ![]() Poster (2013, March 19) Detailed reference viewed: 16 (8 ULg) Multifractality of quantum wave functionsMartin, John ; ; et alPoster (2013, March 19) We study the multifractality of individual wave packets in a periodically kicked system through a combination of numerical and analytical works. We consider a version of the mathematical Ruijsenaars ... [more ▼] We study the multifractality of individual wave packets in a periodically kicked system through a combination of numerical and analytical works. We consider a version of the mathematical Ruijsenaars-Schneider model and reinterpreted it physically in order to describe the spreading with time of quantum wave packets in a system where multifractality can be tuned by varying a parameter [1]. We compare different methods to measure the multifractality of wave packets and identify the best one. We find the multifractality to decrease with time until it reaches an asymptotic limit, which is different from the multifractality of eigenvectors but related to it, as is the rate of the decrease. Our results could guide the study of experimental situations where multifractality is present in quantum systems. [less ▲] Detailed reference viewed: 7 (2 ULg) Multifractality of quantum wave packets; Martin, John ; et alin Physical Review. E : Statistical, Nonlinear, and Soft Matter Physics (2012), 86 We study a version of the mathematical Ruijsenaars-Schneider model and reinterpret it physically in order to describe the spreading with time of quantum wave packets in a system where multifractality can ... [more ▼] We study a version of the mathematical Ruijsenaars-Schneider model and reinterpret it physically in order to describe the spreading with time of quantum wave packets in a system where multifractality can be tuned by varying a parameter. We compare different methods to measure the multifractality of wave packets and identify the best one. We find the multifractality to decrease with time until it reaches an asymptotic limit, which is different from the multifractality of eigenvectors but related to it, as is the rate of the decrease. Our results could guide the study of experimental situations where multifractality is present in quantum systems. [less ▲] Detailed reference viewed: 22 (3 ULg) The quest for highly entangled symmetric statesMartin, John ![]() Scientific conference (2012, June 05) Detailed reference viewed: 19 (8 ULg) Heisenberg-limited metrology without entanglement; Martin, John ![]() Conference (2012, March) Detailed reference viewed: 6 (0 ULg) Heisenberg-limited Metrology without Entanglement; Martin, John ![]() in Research in Optical Sciences, OSA Technical Digest (2012) Detailed reference viewed: 7 (3 ULg) Heisenberg-limited metrology without entanglement; Martin, John ![]() Conference (2012, January) Detailed reference viewed: 5 (1 ULg) Multiqubit symmetric states with a high geometric entanglementMartin, John ; ; et alPoster (2011, May 25) We propose a detailed study of the geometric entanglement properties of pure symmetric N-qubit states, focusing more particularly on the identification of symmetric states with a high geometric ... [more ▼] We propose a detailed study of the geometric entanglement properties of pure symmetric N-qubit states, focusing more particularly on the identification of symmetric states with a high geometric entanglement and how their entanglement behaves asymptotically for large N. We show that much higher geometric entanglement with improved asymptotical behavior can be obtained in comparison with the highly entangled balanced Dicke states studied previously. We also derive an upper bound for the geometric measure of entanglement of symmetric states. The connection with the quantumness of a state is discussed. [less ▲] Detailed reference viewed: 28 (8 ULg) Heisenberg-limited sensitivity with decoherence-enhanced measurements; Martin, John ![]() in Nature Communications (2011), 2(223), 1-9 Quantum-enhanced measurements use quantum mechanical effects to enhance the sensitivity of the measurement of classical quantities, such as the length of an optical cavity. The major goal is to beat the ... [more ▼] Quantum-enhanced measurements use quantum mechanical effects to enhance the sensitivity of the measurement of classical quantities, such as the length of an optical cavity. The major goal is to beat the standard quantum limit (SQL), that is, an uncertainty of order 1/ N, where N is the number of quantum resources (for example, the number of photons or atoms used), and to achieve a scaling 1/N, known as the Heisenberg limit. So far very few experiments have demonstrated an improvement over the SQL. The required quantum states are generally highly entangled, difficult to produce, and very prone to decoherence. Here, we show that Heisenberg- limited measurements can be achieved without the use of entangled states by coupling the quantum resources to a common environment that can be measured at least in part. The method is robust under decoherence, and in fact the parameter dependence of collective decoherence itself can be used to reach a 1/N scaling. [less ▲] Detailed reference viewed: 60 (21 ULg) Multifractality in the kicked rotatorMartin, John ; ; et alPoster (2010, July) Detailed reference viewed: 22 (9 ULg) Multiqubit symmetric states with a high geometric entanglementMartin, John ; ; et alPoster (2010, July) Detailed reference viewed: 15 (8 ULg) Multifractality in quantum mapsMartin, John ; ; et alPoster (2010, March) Detailed reference viewed: 7 (4 ULg) Multiqubit symmetric states with high geometric entanglementMartin, John ; ; et alin Physical Review. A (2010), 81(6), 0623471-6 We propose a detailed study of the geometric entanglement properties of pure symmetric N-qubit states, focusing more particularly on the identification of symmetric states with a high geometric ... [more ▼] We propose a detailed study of the geometric entanglement properties of pure symmetric N-qubit states, focusing more particularly on the identification of symmetric states with a high geometric entanglement and how their entanglement behaves asymptotically for large N. We show that much higher geometric entanglement with improved asymptotical behavior can be obtained in comparison with the highly entangled balanced Dicke states studied previously. We also derive an upper bound for the geometric measure of entanglement of symmetric states. The connection with the quantumness of a state is discussed. [less ▲] Detailed reference viewed: 31 (6 ULg) Multifractal wave functions of simple quantum mapsMartin, John ; ; et alin Physical Review. E : Statistical, Nonlinear, and Soft Matter Physics (2010), 82 We study numerically multifractal properties of two models of one-dimensional quantum maps: a map with pseudointegrable dynamics and intermediate spectral statistics and a map with an Anderson-like ... [more ▼] We study numerically multifractal properties of two models of one-dimensional quantum maps: a map with pseudointegrable dynamics and intermediate spectral statistics and a map with an Anderson-like transition recently implemented with cold atoms. Using extensive numerical simulations, we compute the multifractal exponents of quantum wave functions and study their properties, with the help of two different numerical methods used for classical multifractal systems (box-counting and wavelet methods). We compare the results of the two methods over a wide range of values. We show that the wave functions of the Anderson map display a multifractal behavior similar to eigenfunctions of the three-dimensional Anderson transition but of a weaker type. Wave functions of the intermediate map share some common properties with eigenfunctions at the Anderson transition (two sets of multifractal exponents, with similar asymptotic behavior), but other properties are markedly different (large linear regime for multifractal exponents even for strong multifractality, different distributions of moments of wave functions, and absence of symmetry of the exponents). Our results thus indicate that the intermediate map presents original properties, different from certain characteristics of the Anderson transition derived from the nonlinear sigma model. We also discuss the importance of finite-size effects. [less ▲] Detailed reference viewed: 20 (7 ULg) Entanglement of random localized and multifractal statesMartin, John ; ; Conference (2009, August) Detailed reference viewed: 4 (0 ULg) Time reversal of Bose-Einstein condensatesMartin, John ; ; Poster (2009, July) Detailed reference viewed: 7 (1 ULg) Decoherence-enhanced measurements; Martin, John ![]() Conference (2009, May) Detailed reference viewed: 8 (0 ULg) |
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